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Increasing/Decreasing & Relative Extrema

Q:  Find:

(a) the intervals where f(x) is increasing, the intervals where f(x) is decreasing, and

(b) the relative extrema of f(x) = -2x³ -9x² + 60x -8

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Quadratic Example (all parts)

Q:  Consider the equation:

y= x²-4x+3

1. Find the vertex.
2. It opens _____.
3. Find the axis of symmetry.
4. Find the minimum.
5. Find the discriminant.
6. It has ___ real solutions.
7. Find the x-intercept(s), if none, say so.
8. Find the y-intercept.

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Scrambling

OK.  I must redeem myself in the realm of counting!  Too many hasty errors on my last post for discrete math and not enough “thinking.”  Don’t fall victim to this.  And now to the question:

Q:  How many bit strings (reminder: a bit is either 0 or 1) of length 10 have:

(a) Exactly 3 zeros?
(b) Have the same number of 0 and 1
(c) Have at least 7 zeros
(d) Have at least 3 ones?

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